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Found 126 Documents (Results 1–100)

100
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On the existence of mosaic-skeleton approximations for discrete analogues of integral operators. (English. Russian original) Zbl 1381.65095

Comput. Math. Math. Phys. 57, No. 9, 1404-1415 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 9, 1421-1432 (2017).
MSC:  65N38 65F10 35J05
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Harmonic Dirichlet problem in a ring sector. (English) Zbl 1323.31004

Mityushev, Vladimir V. (ed.) et al., Current trends in analysis and its applications. Proceedings of the 9th ISAAC congress, Kraków, Poland, August 5–9, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-12576-3/pbk; 978-3-319-12577-0/ebook). Trends in Mathematics. Research Perspectives, 67-75 (2015).
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Foundations of the complex variable boundary element method. (English) Zbl 1295.65094

SpringerBriefs in Applied Sciences and Technology. Cham: Springer (ISBN 978-3-319-05953-2/pbk; 978-3-319-05954-9/ebook). xii, 80 p. (2014).
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The spectrum asymptotics for the Dirichlet problem in the case of the biharmonic operator in a domain with highly indented boundary. (English. Russian original) Zbl 1232.31001

St. Petersbg. Math. J. 22, No. 6, 941-983 (2011); translation from Algebra Anal. 22, No. 6, 127-184 (2010).
MSC:  31A25 31A30 35P20
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Exterior Dirichlet-Hilbert problem of polyanalytic function. (English) Zbl 1252.30028

Le Hung Son (ed.) et al., Algebraic structures in partial differential equations related to complex and Clifford analysis. Based on the selected lectures of the 17th international conference on finite and infinite dimensional complex analysis and applications, Ho Chi Minh City, Vietnam, August 3–7, 2009. Ho Chi Minh City: Ho Chi Minh City University of Education Press (ISBN 978-604-918-001-9/hbk). 163-173 (2010).
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Application of Radon transform for fast solution of boundary value problems for elliptic PDE in domains with complicated geometry. (English) Zbl 1215.65182

Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 474-481 (2010).
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Method of boundary integral equations as applied to the numerical solution of the three dimensional Dirichlet problem for the Laplace equation in a piecewise homogeneous medium. (Russian, English) Zbl 1224.35078

Zh. Vychisl. Mat. Mat. Fiz. 49, No. 7, 1197-1206 (2009); translation in Comput. Math., Math. Phys. 49, No. 7, 1141-1150 (2009).
MSC:  35J05 35J08 35J25
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Artificial boundary conditions providing superpolynomial error estimates for the Neumann problem in a layered domain. (Russian, English) Zbl 1136.65350

Zh. Vychisl. Mat. Mat. Fiz. 43, No. 10, 1475-1486 (2003); translation in Comput. Math. Math. Phys. 43, No. 10, 1418-1429 (2003).
MSC:  65N45 35J25
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Spline approximation methods for the biharmonic Dirichlet problem on non-smooth domains. (English) Zbl 1020.65092

Böttcher, Albrecht (ed.) et al., Toeplitz matrices and singular integral equations. The Bernd Silbermann anniversary volume. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 135, 145-160 (2002).
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Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I, II. (English. Russian original) Zbl 0978.31001

Ukr. Math. J. 52, No. 4, 564-585 (2000); No. 6, 856-867 (2000); translation from Ukr. Mat. Zh. 52, No. 4, 492-511 (2000); No. 6, 748-757 (2000).
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Polynomial collocation methods for 1D integral equations with nonsmooth solutions. (English) Zbl 0937.65143

Bonnet, M. (ed.) et al., Mathematical aspects of boundary element methods. Minisymposium during the IABEM 98 conference, dedicated to Vladimir Maz’ya on the occasion of his 60th birthday on 31st December 1997, Paris, France, 1998. Boca Raton, FL: Chapman & Hall/CRC. Chapman Hall/CRC Res. Notes Math. 414, 227-239 (2000).
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A reflection principle and its applications. (English) Zbl 0949.30030

Begehr, Heinrich G. W. (ed.) et al., Complex methods for partial differential equations. Collection of manuscripts originating from talks and lectures given at the workshop on recent trends in complex methods for partial differential equations, Ankara, Turkey, July 6-10, 1998. Dordrecht: Kluwer Academic Publishers. Int. Soc. Anal. Appl. Comput. 6, 1-19 (1999).
MSC:  30E25 31A25 35J05
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A method for determining the roots of some classes of equations with analytic functions and its applications. (English. Russian original) Zbl 0973.30008

Sib. Math. J. 40, No. 5, 981-990 (1999); translation from Sib. Mat. Zh. 40, No. 5, 1157-1166 (1999).
MSC:  30C15 30D05 35J05
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Extrapolation of linear operators acting from \(L_p\) into Orlicz spaces generated by \(N\)-functions of slow or fast growth. (Russian) Zbl 0917.46020

Chuvakov, V. P. (ed.), Current problems of modern mathematics. Collection of scientific works. Vol. 2. Novosibirsk: NII MIOO NGU. 95-103 (1996).
MSC:  46E30 47B38
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Solving boundary value problems with complex parameters by the Monte Carlo method. (English. Russian original) Zbl 0878.65116

Sib. Math. J. 37, No. 4, 775-781 (1996); translation from Sib. Mat. Zh. 37, No. 4, 881-888 (1996).
Reviewer: J.Antoch (Praha)
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Optimal rates of convergence of some iterative approximation methods for the solution of Fredholm equations in spaces of periodic analytic functions. (English. Russian original) Zbl 0851.65092

Ukr. Math. J. 46, No. 9, 1327-1335 (1994); translation from Ukr. Mat. Zh. 46, No. 9, 1208-1215 (1994).
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A BEM approach for grounding grid computation. (English) Zbl 0837.65132

Brebbia, C. A. (ed.), Boundary element method XVI. 16th international boundary element method conference, Southampton, GB, 12-15 July 1994. Vol. 1. Southampton: Computational Mechanics Publications. 117-124 (1994).
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On a quadrature method for a logarithmic integral equation of the first kind. (English) Zbl 0834.65134

Agarwal, R. P. (ed.), Contributions in numerical mathematics. Singapore: World Scientific Publishing Co. World Sci. Ser. Appl. Anal. Vol. 2, 127-140 (1993).
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Regularity of functions with values in Clifford algebra based on a generalized axially symmetric potential theory operator. (English) Zbl 0839.31005

Brackx, F. (ed.) et al., Clifford algebras and their applications in mathematical physics. Proceedings of the third conference held at Deinze, Belgium, 1993. Dordrecht: Kluwer Academic Publishers. Fundam. Theor. Phys. 55, 159-166 (1993).
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Near and far scattering field of a low-frequency plane harmonic wave by a rough half-plane. (English) Zbl 0818.35075

Kleinman, Ralph (ed.) et al., Mathematical and numerical aspects of wave propagation. Proceedings of the 2nd international conference held in Newark, DE, USA, June 7-10, 1993. Philadelphia, PA: SIAM. 426-435 (1993).
MSC:  35P25 78A45 35J05
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On the problem of numerical solution of the Dirichlet problem by a harmonic single-layer potential (algorithms without saturation). (English. Russian original) Zbl 0814.65122

Russ. Acad. Sci., Dokl., Math. 47, No. 2, 252-256 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 329, No. 4, 392-395 (1993).
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Monte-Carlo and averaging methods for biharmonic Dirichlet problem. (Japanese. English summary) Zbl 0805.65117

Natori, M. (ed.) et al., Parallel processing for scientific computing. Proceedings of the 9th PCG symposium, held at Keio University, Tokyo, Japan, on March 2nd, 1993. Tokyo: Keio University, Adv. Numer. Methods Large Sparse Sets Linear Equations. 9, 56-61 (1993).
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Approximate solution of Laplace’s equation by the block method on polygons under nonanalytic boundary conditions. (English. Russian original) Zbl 0801.65103

Proc. Steklov Inst. Math. 194, 65-90 (1993); translation from Tr. Mat. Steklova 194, 63-88 (1992).
MSC:  65N30 35J05
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Inclusion methods for Fredholm integral equations with applications to boundary value problems in potential theory. (English) Zbl 0739.65110

Direct and inverse boundary value problems, Pap. 12th Conf. Methods Techniques Math. Phys., Oberwolfach/Ger. 1989, Methoden Verfahren Math. Phys. 37, 57-66 (1991).
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The behavior of solutions of the equation \(\Delta u=-1\) in convex domains. (English. Russian original) Zbl 0692.35036

Sov. Math., Dokl. 39, No. 1, 112-114 (1989); translation from Dokl. Akad. Nauk SSSR 304, No. 3, 546-548 (1989).
Reviewer: Li Mingzhong
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